Question Number 15699 by zildabatistoti last updated on 12/Jun/17 $$\mathrm{3}+\mathrm{5x}=\mathrm{58} \\ $$ Answered by Joel577 last updated on 13/Jun/17 $$\mathrm{5}{x}\:=\:\mathrm{58}\:−\:\mathrm{3}\:=\:\mathrm{55} \\ $$$${x}\:=\:\frac{\mathrm{55}}{\mathrm{5}}\:=\:\mathrm{11} \\ $$ Terms…
Question Number 15672 by Mr easymsn last updated on 12/Jun/17 $$\:{solve}\:{the}\:{equation}: \\ $$$$\:\:\left\{\mathrm{5}^{{x}} \right\}\:+\mathrm{5}{x}=\mathrm{140} \\ $$$${please}\:{show}\:{workings}….. \\ $$ Answered by mrW1 last updated on 13/Jun/17…
Question Number 81193 by ajfour last updated on 10/Feb/20 Commented by ajfour last updated on 10/Feb/20 $${If}\:{both}\:{coloured}\:{regions}\:{have}\:{equal} \\ $$$$\left({areas}\right)_{{maximum}\:} ,\:{determine}\:\alpha. \\ $$ Commented by jagoll…
Question Number 15642 by mrW1 last updated on 12/Jun/17 Answered by ajfour last updated on 12/Jun/17 $$\:\:{Required}\:{Area}={S} \\ $$$$\:{let}\:{O}\:{be}\:{origin}. \\ $$$$\:{A}\left({a},\mathrm{0}\right)\:;\:{B}\left(\mathrm{0},{b}\right)\:;\:{C}\left(−{c},\mathrm{0}\right)\:; \\ $$$$\:{D}\left(\mathrm{0},−{d}\right)\:;\:{E}\left({a}+{p},\:−{d}−{q}\right) \\ $$$$\:\:\frac{{q}+{d}}{{p}}=\frac{{b}}{{a}}\:\:\:,\:\:\:\:\:\frac{{p}+{a}}{{q}}=\frac{{c}}{{d}}…
Question Number 81122 by mr W last updated on 09/Feb/20 Commented by mr W last updated on 09/Feb/20 $${black}\:{dot}\:{is}\:{the}\:{center}\:{of}\:{circle}. \\ $$$${both}\:{angles}\:{marked}\:{with}\:“\mathrm{o}''\:{are}\:{equal}. \\ $$$${two}\:{lengthes}\:{are}\:{given}:\:\mathrm{5}\:{and}\:\mathrm{6}. \\ $$$${find}\:{length}\:{x}=?…
Question Number 15572 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 12/Jun/17 Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 12/Jun/17 $${circle}\::{c}\:{tangent}\:{to}\:{semicircle}\:{AEB}\:{at}: \\ $$$${points}:\:{E}\:\&\:{D}.\:{AD}={a}=\mathrm{12},{DB}={b}=\mathrm{5}. \\ $$$$……………………………………………. \\ $$$$\left.\mathrm{1}\right){DE}={x}=?,{AE}=? \\ $$$$\left.\mathrm{2}\right)\:\:{show}\:{that}:\:\:\measuredangle{AED}=\mathrm{45}^{\bullet}…
Question Number 15567 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 11/Jun/17 Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 11/Jun/17 $${ABCD}\:\&\:{MNPQ},{are}\:{squares}. \\ $$$${show}\:{that}: \\ $$$${a}^{\mathrm{2}} +{b}^{\mathrm{2}} ={c}^{\mathrm{2}} +{d}^{\mathrm{2}} \\…
Question Number 81075 by ajfour last updated on 09/Feb/20 Commented by ajfour last updated on 09/Feb/20 $${Given}\:{s},\:{find}\:{coordinates} \\ $$$${of}\:{A},{B},{C}. \\ $$ Answered by ajfour last…
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Question Number 15440 by mrW1 last updated on 10/Jun/17 Commented by mrW1 last updated on 10/Jun/17 $$\mathrm{The}\:\mathrm{sides}\:\mathrm{of}\:\mathrm{a}\:\mathrm{convex}\:\mathrm{quadrilateral} \\ $$$$\mathrm{ABCD}\:\mathrm{are}\:\mathrm{elongated}\:\mathrm{2}\:\mathrm{times}\:\mathrm{in}\:\mathrm{one} \\ $$$$\mathrm{direction},\:\mathrm{see}\:\mathrm{diagram},\:\mathrm{to}\:\mathrm{form}\:\mathrm{a}\:\mathrm{new} \\ $$$$\mathrm{quadrilateral}\:\mathrm{EFGH}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the} \\ $$$$\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{new}\:\mathrm{quadrilateral}\:\mathrm{if}\:\mathrm{the}…